A fair die is rolled n times. Let An be the event that there is a string of k consecutive rolls among n rolls in which all upturned faces are number 6. Compute P(An). Here we assume that the rolls are independent with each other and 0 < k < n. Note that, to reduce your overload, you only need to derive the recursion formula , i. e., you DO NOT need to solve that recursion formula.

The price of a new video game is $59.69 before tax. allison bought the game for 12% off. she then paid 9.25% sales tax on the discounted price.part a: how much did allison pay in sales tax? show all work and steps in your solution. round your answer to the nearest cent. part b: what is the total amount that allison paid for the video game? show all work and steps in your solution. round your answer to the nearest cent